Ethics and economics in Karl Menger: how did social sciences cope with Hilbertism [PDF]
This paper deals with the contributions made to the social sciences by the mathematician Karl Menger (1902-1985), the son of the more famous economist, Carl Menger. Mathematician and a logician, he focused on whether it was possible to explain the social
Becchio Giandomenica
core
Menger hypercompositional algebras represented by medial n-ary hyperoperations
The necessary and sufficient conditions under which a Menger algebra can be isomorphically represented by medial n-ary operations are proposed. Since a Menger hypercompositional algebra can be regarded as a generalization of a Menger algebra, for this reason, the situation for medial hyperoperations is further examined and a representation theorem of ...
openaire +1 more source
Representation-finite tree algebras [PDF]
Bongartz K, Ringel CM. Representation-finite tree algebras. In: Auslander M, Lluis E, eds. Representations of Algebras. Proceedings of the Third International Conference on Representations of Algebras, held in Puebla, Mexico, August 4 - 8, 1980.
Claus Michael Ringel +5 more
core +1 more source
Menger Algebras of Alternating Terms
Let $\tau_{n} = (n_i)_{i \in I}$ be a particular language (type) of algebras such that $n_i = n$ for all $i$ in $I$; $n$ is a positive integer. This paper aims to introduce \(n\)-ary alternating terms (alt-terms) of type \(\tau_n\), based on the alternating group \(Alt(n)\) of degree \(n\). We demonstrate that the set of all \(n\)-ary alternating terms
openaire +1 more source
Deduction with uncertain conditionals (revised & simplified, with examples). [PDF]
Calabrese PG.
europepmc +1 more source
The Menger algebras of $2$-place functions in the $2$-valued logic.
A Menger algebra of 2-place functions over a set Δ is (cf. [5]) a set 6 of functions mapping Δ x Δ into Δ, which is closed with respect to substitution or composition, i.e., has the property that, for any three functions F, G, H belonging to 6, the composite function F{G,H) belongs to 6. Here, F{G,H) is the function assuming the value F(G(x,y), H(x9y))
openaire +2 more sources
Carl Menger and Friedrich von Wieser on the Role of Knowledge and Beliefs in the Emergence and Evolution of Institutions [PDF]
In this article we start from the well-known contribution of the Austrian school with respect to the problem of knowledge and its role in inter- individual coordination.
Agnès Festré,
core
Classification of limits of upper triangular matrix algebras. [PDF]
Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are ...
Hopenwasser, A. L., Power, Stephen C.
core +3 more sources
Ternary Menger hyperalgebras: some algebraic properties
In this article, we first establish an algebraic hyperstructure called a ternary Menger hyperalgebra of rank n, where n is a natural number. The algebraic hyperstructure can be regarded as a novel generalization of ternary semihypergroups. In particular, by setting the natural number n equal to 1, the algebraic hyperstructures of ternary Menger ...
A. Nongmanee, S. Leeratanavalee
openaire +1 more source
The Emergence and Evolution of Institutions: The Complementary Approaches of Carl Menger and Thorstein Veblen [PDF]
This paper is an attempt to compare Carl Menger and Thorstein Veblen,’s conceptions of institutions. It is shown that although Menger stresses on the emergence of institutions, Veblen is much aware of analyzing their evolution.
Pierre Garrouste
core

